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Finding the Fourth Proportional to 1,193.04, 1,790.07 and 463.13

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Solution

The fourth proportional to 1,193.04, 1,790.07 and 463.13 is: 694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.04 : 1,790.07 = 463.13 : x
  2. Step 2: Convert to fraction form
    1,193.04/1,790.07 = 463.13/x
  3. Step 3: Cross multiply
    1,193.04x = 1,790.07 × 463.13
  4. Step 4: Simplify right side
    1,193.04x = 829,031.14
  5. Step 5: Solve for x
    x = 829,031.14/1,193.04
  6. Step 6: Final answer
    x = 694.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.